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Simplifying 0.016x2 + 0.124x + 0.787 = 0 Reorder the terms: 0.787 + 0.124x + 0.016x2 = 0 Solving 0.787 + 0.124x + 0.016x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.016 the coefficient of the squared term: Divide each side by '0.016'. 49.1875 + 7.75x + x2 = 0 Move the constant term to the right: Add '-49.1875' to each side of the equation. 49.1875 + 7.75x + -49.1875 + x2 = 0 + -49.1875 Reorder the terms: 49.1875 + -49.1875 + 7.75x + x2 = 0 + -49.1875 Combine like terms: 49.1875 + -49.1875 = 0.0000 0.0000 + 7.75x + x2 = 0 + -49.1875 7.75x + x2 = 0 + -49.1875 Combine like terms: 0 + -49.1875 = -49.1875 7.75x + x2 = -49.1875 The x term is 7.75x. Take half its coefficient (3.875). Square it (15.015625) and add it to both sides. Add '15.015625' to each side of the equation. 7.75x + 15.015625 + x2 = -49.1875 + 15.015625 Reorder the terms: 15.015625 + 7.75x + x2 = -49.1875 + 15.015625 Combine like terms: -49.1875 + 15.015625 = -34.171875 15.015625 + 7.75x + x2 = -34.171875 Factor a perfect square on the left side: (x + 3.875)(x + 3.875) = -34.171875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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